418460416704 has 392 divisors, whose sum is σ = 1394957269008. Its totient is φ = 123373393920.

The previous prime is 418460416681. The next prime is 418460416763. The reversal of 418460416704 is 407614064814.

It is a self number, because there is not a number n which added to its sum of digits gives 418460416704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18977974 + ... + 19000010.

Almost surely, 2^418460416704 is an apocalyptic number.

418460416704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418460416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697478634504).

418460416704 is an abundant number, since it is smaller than the sum of its proper divisors (976496852304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

418460416704 is a wasteful number, since it uses less digits than its factorization.

418460416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22115 (or 22090 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 418460416704 in words is "four hundred eighteen billion, four hundred sixty million, four hundred sixteen thousand, seven hundred four".